The generator matrix

 1  0  0  0  1  1  1  X  1  1  0  0  X  1  X  1  1  1  X  0  1  1  1  1  X  X  0  1  1  1
 0  1  0  0  X  X  X  0 X+1  1  1  1  1  1  1 X+1 X+1  0  1  X X+1  0 X+1 X+1  1  1  1  1  X  0
 0  0  1  0  0 X+1  1  1  0  X  1 X+1  X  1  0  1  X  X  0  1 X+1 X+1  X  1  1  X  0  0 X+1  0
 0  0  0  1  1 X+1  0  1  X X+1 X+1  X  1  X  0 X+1  1  X X+1 X+1  X  1  0  1  0  X  X  1  0  X

generates a code of length 30 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+22x^26+40x^27+36x^28+44x^29+29x^30+10x^31+11x^32+16x^33+16x^34+12x^35+6x^36+4x^37+5x^38+2x^39+2x^44

The gray image is a linear code over GF(2) with n=60, k=8 and d=26.
This code was found by Heurico 1.16 in 0.00606 seconds.